Finite Group Databasebeta

← #11864039

Subgroups — #11864039

Order 1152.

2274 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×#64127C211yesmaximal, characteristic, complemented
3C2×#64123C211yesmaximal, characteristic, complemented
4#10596098C211yesmaximal, characteristic, complemented
5C32×#452C211yesmaximal, characteristic, complemented
6#10592937C211yesmaximal, characteristic, complemented
7#10592886C211yesmaximal, characteristic, complemented
8#10592872C211yesmaximal, characteristic, complemented
9#10592746C211yesmaximal, characteristic, complemented
10#10592509C211yesmaximal, characteristic, complemented
11#10592501C211yesmaximal, characteristic, complemented
12#10592480C211yesmaximal, characteristic, complemented
13#10592469C211yesmaximal, characteristic, complemented
14#10592433C211yesmaximal, characteristic, complemented
15#10592425C211yesmaximal, characteristic, complemented
16#80227—34nomaximal
17C2×C32×#41C2211yescharacteristic
18#41×C3⋊D3—24no—
19#41×C3⋊D3—24no—
20C2×#3832C2211yescharacteristic
21C2×#3832C2211yescharacteristic
22C2×Q8×C3⋊D3C2211yescharacteristic
23C2×#3830—21no—
24C2×#3830C2211yescharacteristic
25C2×D4×C3⋊D3—21no—
26C2×D4×C3⋊D3C2211yescharacteristic
27C2×#3828—21no—
28C2×#3828C2211yescharacteristic
29C22×C4×C3⋊D3—21no—
30C22×C4×C3⋊D3C2211yescharacteristic
31C2×C32×Q16C2211yescharacteristic, complemented
32C2×C32×SD16C2211yescharacteristic, complemented
33C32×C22⋊Q8C2211yescharacteristic, complemented
34#64155C2211yescharacteristic, complemented
35C2×#3756C2211yescharacteristic, complemented
36C2×#3755C2211yescharacteristic, complemented
37C2×#3755C2211yescharacteristic, complemented
38C2×#3753C2211yescharacteristic, complemented
39#64139C2211yescharacteristic, complemented
40#64127—24no—
41#64123—24no—
42C2×#3745C2211yescharacteristic, complemented
43C2×#3744C2211yescharacteristic, complemented
44C2×#3743C2211yescharacteristic
45C2×#3743C2211yescharacteristic
46#64104C2211yescharacteristic, complemented
47#64103—21no—
48#64102—21no—
49#64101C2211yescharacteristic
50#64091—21no—
51#64090—21no—
52C32×#103C2211yescharacteristic, complemented
53C32×#102C2211yescharacteristic, complemented
54C32×C22⋊C8C2211yescharacteristic, complemented
55#63662C2211yescharacteristic, complemented
56#63659C2211yescharacteristic, complemented
57#63657C2211yescharacteristic, complemented
58#63648C2211yescharacteristic, complemented
59#63647C2211yescharacteristic, complemented
60#63647C2211yescharacteristic, complemented
61#63643C2211yescharacteristic, complemented
62#63637C2211yescharacteristic, complemented
63#63636C2211yescharacteristic, complemented
64C2×D3×#41—34no—
65C2×#918—34no—
66C2×#914—34no—
67#5627—34no—
68C3×#452D314yescomplemented
69#5238—34no—
70#5187—34no—
71#5173—34no—
72#5047—34no—
73#4810—34no—
74#4802—34no—
75#4781—34no—
76#4770—34no—
77#4734—34no—
78#4726—34no—
79C23×C3⋊D3—21no—
80C23×C3⋊D3D411yescharacteristic
81C32×#41—22no—
82C32×#41—22no—
83C2×C32×Q8C2311yescharacteristic
84C2×C32×Q8C2311yescharacteristic
85C2×C32×D4—21no—
86C2×C32×D4C2311yescharacteristic
87C22×C32×C4—21no—
88C22×C32×C4C2311yescharacteristic
89C2×#638—21no—
90C2×#638—21no—
91C2×#638—21no—
92C2×#638—21no—
93C22×C3⋊Dic3—21no—
94C22×C3⋊Dic3D411yescharacteristic
95#3832—22no—
96#3832—22no—
97#3832—22no—
98#3832—22no—
99Q8×C3⋊D3—22no—
100Q8×C3⋊D3D414yescomplemented
101#3830—28no—
102#3830—22no—
103#3830—22no—
104D4×C3⋊D3—28no—
105D4×C3⋊D3—22no—
106D4×C3⋊D3D414yescomplemented
107#3828—28no—
108#3828—22no—
109#3828—22no—
110C2×C4⋊(C3⋊D3)—21no—
111C2×C4⋊(C3⋊D3)—21no—
112C2×C4⋊(C3⋊D3)—21no—
113C2×C4⋊(C3⋊D3)C2311yescharacteristic
114C2×C4⋊(C3⋊D3)C2311yescharacteristic
115C2×C4×C3⋊D3—28no—
116C2×C4×C3⋊D3—21no—
117C2×C4×C3⋊D3—21no—
118C2×C4×C3⋊D3—21no—
119C2×C4×C3⋊D3—22no—
120C2×C4×C3⋊D3—22no—
121C2×C4×C3⋊D3—21no—
122C2×C4×C3⋊D3D411yescharacteristic
123C2×C4×C3⋊D3D411yescharacteristic
124C2×C4×C3⋊D3C2311yescharacteristic
125C2×C4×C3⋊D3C2311yescharacteristic
126C2×#634—21no—
127C2×#634C2311yescharacteristic
128C32×Q16—22no—
129C32×SD16—22no—
130C2×C32×C8C2311yescharacteristic
131C2×C32×C8C2311yescharacteristic
132C32×C4⋊C4—21no—
133C32×C4⋊C4C2311yescharacteristic
134C32×C22⋊C4—21no—
135#3756—22no—
136#3755—22no—
137#3755—22no—
138#3753—22no—
139#3752—21no—
140#3752—21no—
141#3752—21no—
142#3752—21no—
143C4⋊(C3⋊Dic3)C2311yescharacteristic
144#3750—21no—
145C4×C3⋊Dic3—21no—
146C2×C3⋊(C3⋊C8)C2311yescharacteristic
147C2×C3⋊(C3⋊C8)C2311yescharacteristic
148#3745—22no—
149#3744—22no—
150#3743—22no—
151#3743—22no—
152#3005—91noSylow
153C2×C3×#41C2×D314yes—
154D3×#41—616no—
155D3×#41—616no—
156C2×#239—34no—
157C2×#239—34no—
158C2×D3×Q8—34no—
159C2×#237—34no—
160C2×#237—64no—
161C2×D3×D4—34no—
162C2×D3×D4—64no—
163C2×#235—34no—
164C2×#235—64no—
165C22×C4×D3—34no—
166C22×C4×D3—64no—
167C2×C3×Q16C2×D314yescomplemented
168C2×C3×SD16C2×D314yescomplemented
169C3×C22⋊Q8C2×D314yescomplemented
170#946—34no—
171C2×#216—34no—
172C2×#215—34no—
173C2×#215—34no—
174C2×#213—34no—
175#930—34no—
176#918—616no—
177#914—616no—
178C2×D24—34no—
179C2×#204—34no—
180C2×ΓL(1,𝔽25)—34no—
181C2×ΓL(1,𝔽25)—34no—
182#895—34no—
183#894—64no—
184#893—64no—
185#892—34no—
186#882—64no—
187#67⋊C4—64no—
188C3×#103C2×D314yescomplemented
189C3×#102C2×D314yescomplemented
190C3×C22⋊C8C2×D314yescomplemented
191#835—34no—
192#832—34no—
193#830—34no—
194#821—34no—
195(C2×D3)⋊C8—34no—
196(C2×D3)⋊C8—34no—
197#816—34no—
198#810—34no—
199#809—34no—
200C23×C32—21no—
201C23×C32C2×D411yescharacteristic
202C22×C3⋊D3—21no—
203C22×C3⋊D3—24no—
204C22×C3⋊D3—22no—
205C22×C3⋊D3—21no—
206C22×C3⋊D3—41no—
207C22×C3⋊D3—41no—
208C22×C3⋊D3—42no—
209C22×C3⋊D3—42no—
210C22×C3⋊D3C2×D411yescharacteristic
211C22×C3⋊D3C2×D411yescharacteristic
212C32×Q8—21no—
213C32×Q8—21no—
214C32×Q8—21no—
215C32×Q8C2×D412yes—
216C32×D4—24no—
217C32×D4—21no—
218C32×D4C2×D412yes—
219C2×C32×C4—24no—
220C2×C32×C4—21no—
221C2×C32×C4—21no—
222C2×C32×C4—21no—
223C2×C32×C4—21no—
224C2×C32×C4—21no—
225C2×C32×C4C2×D411yescharacteristic
226C2×C32×C4C2411yescharacteristic
227#638—24no—
228#638—24no—
229#638—24no—
230#638—42no—
231C2×C3⋊Dic3—24no—
232C2×C3⋊Dic3—21no—
233C2×C3⋊Dic3—22no—
234C2×C3⋊Dic3—21no—
235C2×C3⋊Dic3C2×D411yescharacteristic
236C2×C3⋊Dic3C2×D411yescharacteristic
237C4⋊(C3⋊D3)—24no—
238C4⋊(C3⋊D3)—21no—
239C4⋊(C3⋊D3)—21no—
240C4⋊(C3⋊D3)—21no—
241C4⋊(C3⋊D3)—42no—
242C4⋊(C3⋊D3)—42no—
243C4⋊(C3⋊D3)C2×D412yes—
244C4×C3⋊D3—24no—
245C4×C3⋊D3—24no—
246C4×C3⋊D3—22no—
247C4×C3⋊D3—24no—
248C4×C3⋊D3—21no—
249C4×C3⋊D3—21no—
250C4×C3⋊D3—22no—
251C4×C3⋊D3—42no—
252C4×C3⋊D3C2×D412yes—
253C4×C3⋊D3C2×D412yes—
254#634—21no—
255#634—24no—
256#634C2×D412yes—
257C32×C8—21no—
258C32×C8—21no—
259C3⋊(C3⋊C8)—21no—
260C3⋊(C3⋊C8)—21no—
261C22×#41—91no—
262C2×#137—91no—
263C2×AGL(1,ℤ/8)—91no—
264#525—91no—
265#452—91no—
266#452—91no—
267#452—91no—
268#452C3⋊D311yescharacteristic, complemented
269#449—91no—
270#449—91no—
271#449—91no—
272#449—91no—
273#419—91no—
274#418—91no—
275#407—91no—
276C23×D3—34no—
277C23×D3—64no—
278C3×#41—28no—
279C3×#41—28no—
280C2×C3×Q8C22×D314yes—
281C2×C3×Q8C22×D314yes—
282C2×C3×D4—24no—
283C2×C3×D4C22×D314yes—
284C22×C3×C4—24no—
285C22×C3×C4C22×D314yes—
286C2×#67—64no—
287C2×#67—64no—
288C2×#67—64no—
289C2×#67—64no—
290C22×Dic3—34no—
291C22×Dic3—64no—
292#239—68no—
293#239—68no—
294#239—68no—
295#239—68no—
296D3×Q8—316no—
297D3×Q8—68no—
298#237—68no—
299#237—632no—
300#237—68no—
301D3×D4—316no—
302D3×D4—68no—
303D3×D4—632no—
304#235—68no—
305#235—68no—
306#235—632no—
307C2×D12—34no—
308C2×D12—34no—
309C2×D12—64no—
310C2×D12—64no—
311C2×D12—64no—
312C2×C4×D3—34no—
313C2×C4×D3—34no—
314C2×C4×D3—34no—
315C2×C4×D3—34no—
316C2×C4×D3—68no—
317C2×C4×D3—68no—
318C2×C4×D3—64no—
319C2×C4×D3—64no—
320C2×C4×D3—632no—
321C2×C4×D3—64no—
322C2×C4×D3—64no—
323C2×Dic6—34no—
324C2×Dic6—64no—
325C3×Q16—28no—
326C3×SD16—28no—
327C2×C3×C8C22×D314yes—
328C2×C3×C8C22×D314yes—
329C3×C4⋊C4—24no—
330C3×C4⋊C4C22×D314yes—
331C3×C22⋊C4—24no—
332#216—68no—
333#215—68no—
334#215—68no—
335#213—68no—
336(C2×D3)⋊C4—64no—
337(C2×D3)⋊C4—64no—
338(C2×D3)⋊C4—64no—
339(C2×D3)⋊C4—64no—
340C4⋊Dic3—34no—
341Dic3⋊C4—64no—
342C4×Dic3—64no—
343C2×C3⋊C8—34no—
344C2×C3⋊C8—34no—
345D24—68no—
346#204—68no—
347ΓL(1,𝔽25)—68no—
348ΓL(1,𝔽25)—68no—
349C22×C32—21no—
350C22×C32—22no—
351C22×C32—21no—
352C22×C32—21no—
353C22×C32—41no—
354C22×C32—41no—
355C22×C32C22×D411yescharacteristic
356C2×C3⋊D3—21no—
357C2×C3⋊D3—21no—
358C2×C3⋊D3—21no—
359C2×C3⋊D3—22no—
360C2×C3⋊D3—21no—
361C2×C3⋊D3—21no—
362C2×C3⋊D3—44no—
363C2×C3⋊D3—48no—
364C2×C3⋊D3—41no—
365C2×C3⋊D3—41no—
366C2×C3⋊D3—41no—
367C2×C3⋊D3—41no—
368C2×C3⋊D3—41no—
369C2×C3⋊D3#12012yes—
370C32×C4—22no—
371C32×C4—21no—
372C32×C4—41no—
373C32×C4—41no—
374C32×C4C22×D411yescharacteristic
375C32×C4C22×D411yescharacteristic
376C3⋊Dic3—22no—
377C3⋊Dic3—21no—
378C3⋊Dic3—41no—
379C3⋊Dic3#12012yes—
380C2×#41—91no—
381C2×#41—91no—
382C2×#41—91no—
383C2×#41—91no—
384C2×#41—181no—
385C2×#41—181no—
386C2×#41—184no—
387C2×#41—184no—
388C2×#41C2×C3⋊D311yescharacteristic
389C22×Q8—91no—
390C22×D4—91no—
391C22×D4—181no—
392C23×C4—91no—
393C23×C4—181no—
394#137—184no—
395AGL(1,ℤ/8)—184no—
396C2×Q16—91no—
397C2×Q16C2×C3⋊D311yescharacteristic, complemented
398C2×SD16—91no—
399C2×SD16—91no—
400C2×SD16—91no—
401C2×SD16C2×C3⋊D311yescharacteristic, complemented
402C2×D8—91no—
403C2×D8—91no—
404C2×M16—91no—
405C2×M16—91no—
406#123—181no—
407C22⋊Q8—91no—
408C22⋊Q8C2×C3⋊D311yescharacteristic, complemented
409#121—91no—
410#121—91no—
411#120—181no—
412C4×D4—181no—
413C4×D4—181no—
414#117—91no—
415#103—91no—
416#103—91no—
417#103—91no—
418#103C2×C3⋊D311yescharacteristic, complemented
419#102—91no—
420#102—91no—
421#102—91no—
422#102C2×C3⋊D311yescharacteristic, complemented
423C22⋊C8—91no—
424C22⋊C8—91no—
425C22⋊C8—91no—
426C22⋊C8C2×C3⋊D311yescharacteristic, complemented
427C23×C3—24no—
428C23×C3D3×D414yes—
429C22×D3—34no—
430C22×D3—34no—
431C22×D3—616no—
432C22×D3—68no—
433C22×D3—64no—
434C22×D3—64no—
435C22×D3—124no—
436C22×D3—124no—
437C22×D3—128no—
438C22×D3—128no—
439C3×Q8—24no—
440C3×Q8—24no—
441C3×Q8—24no—
442C3×Q8D3×D418yes—
443C3×D4—216no—
444C3×D4—24no—
445C3×D4D3×D418yes—
446C2×C3×C4—216no—
447C2×C3×C4—24no—
448C2×C3×C4—24no—
449C2×C3×C4—24no—
450C2×C3×C4—24no—
451C2×C3×C4—24no—
452C2×C3×C4D3×D414yes—
453C2×C3×C4C23×D314yes—
454#67—616no—
455#67—616no—
456#67—616no—
457#67—128no—
458C2×Dic3—34no—
459C2×Dic3—34no—
460C2×Dic3—68no—
461C2×Dic3—616no—
462C2×Dic3—64no—
463C2×Dic3—64no—
464D12—38no—
465D12—616no—
466D12—64no—
467D12—64no—
468D12—64no—
469D12—128no—
470D12—128no—
471C4×D3—38no—
472C4×D3—38no—
473C4×D3—68no—
474C4×D3—68no—
475C4×D3—616no—
476C4×D3—616no—
477C4×D3—616no—
478C4×D3—64no—
479C4×D3—64no—
480C4×D3—128no—
481Dic6—38no—
482Dic6—616no—
483Dic6—64no—
484C3×C8—24no—
485C3×C8—24no—
486C3⋊C8—64no—
487C3⋊C8—64no—
488C2×C32—41no—
489C2×C32—42no—
490C2×C32C2×#12011yescharacteristic
491C2×C32#57511yescharacteristic
492C2×C32#57511yescharacteristic
493C3⋊D3—22no—
494C3⋊D3—41no—
495C3⋊D3—42no—
496C3⋊D3—81no—
497C24—91no—
498C24—181no—
499#41—22no—
500#41—22no—
501#41—182no—
502#41—182no—
503#41—188no—
504#41—182no—
505#41—182no—
506#41—182no—
507#41—188no—
508#41—182no—
509#41—182no—
510#41—182no—
511C2×Q8—94no—
512C2×Q8—91no—
513C2×Q8—181no—
514C2×Q8—182no—
515C2×Q8C22×C3⋊D311yescharacteristic
516C2×Q8C22×C3⋊D311yescharacteristic
517C2×D4—21no—
518C2×D4—94no—
519C2×D4—91no—
520C2×D4—91no—
521C2×D4—181no—
522C2×D4—181no—
523C2×D4—181no—
524C2×D4—182no—
525C2×D4—181no—
526C2×D4—188no—
527C2×D4—181no—
528C2×D4—181no—
529C2×D4—181no—
530C2×D4C22×C3⋊D311yescharacteristic
531C22×C4—21no—
532C22×C4—91no—
533C22×C4—91no—
534C22×C4—91no—
535C22×C4—91no—
536C22×C4—91no—
537C22×C4—182no—
538C22×C4—182no—
539C22×C4—181no—
540C22×C4—181no—
541C22×C4—181no—
542C22×C4—188no—
543C22×C4—181no—
544C22×C4—181no—
545C22×C4C22×C3⋊D311yescharacteristic
546Q16—22no—
547Q16—182no—
548SD16—22no—
549SD16—182no—
550SD16—182no—
551SD16—182no—
552D8—182no—
553D8—182no—
554M16—182no—
555M16—182no—
556C2×C8—91no—
557C2×C8—91no—
558C2×C8C22×C3⋊D311yescharacteristic
559C2×C8C22×C3⋊D311yescharacteristic
560C4⋊C4—21no—
561C4⋊C4—91no—
562C4⋊C4—181no—
563C4⋊C4C22×C3⋊D311yescharacteristic
564C22⋊C4—21no—
565C22⋊C4—181no—
566C22⋊C4—181no—
567C22⋊C4—181no—
568C22⋊C4—181no—
569C42—181no—
570C22×C3—24no—
571C22×C3—24no—
572C22×C3—24no—
573C22×C3—28no—
574C22×C3—44no—
575C22×C3—44no—
576C22×C3C2×D3×D414yes—
577C2×D3—38no—
578C2×D3—64no—
579C2×D3—64no—
580C2×D3—64no—
581C2×D3—64no—
582C2×D3—68no—
583C2×D3—64no—
584C2×D3—1216no—
585C2×D3—1232no—
586C2×D3—124no—
587C2×D3—124no—
588C2×D3—124no—
589C2×D3—124no—
590C2×D3—124no—
591C3×C4—28no—
592C3×C4—24no—
593C3×C4—44no—
594C3×C4—44no—
595C3×C4C2×D3×D414yes—
596C3×C4C2×D3×D414yes—
597Dic3—38no—
598Dic3—68no—
599Dic3—64no—
600Dic3—124no—
601C32#300511yescharacteristic, complemented, Sylow
602C23—21no—
603C23—91no—
604C23—91no—
605C23—184no—
606C23—182no—
607C23—181no—
608C23—181no—
609C23—361no—
610C23—361no—
611C23—362no—
612C23—362no—
613C23D4×C3⋊D311yescharacteristic
614Q8—21no—
615Q8—21no—
616Q8—21no—
617Q8—92no—
618Q8—184no—
619Q8—181no—
620Q8D4×C3⋊D312yes—
621D4—24no—
622D4—21no—
623D4—92no—
624D4—184no—
625D4—184no—
626D4—184no—
627D4—184no—
628D4—181no—
629D4—181no—
630D4—181no—
631D4—362no—
632D4—362no—
633D4—362no—
634D4D4×C3⋊D312yes—
635C2×C4—24no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—91no—
642C2×C4—92no—
643C2×C4—92no—
644C2×C4—91no—
645C2×C4—182no—
646C2×C4—182no—
647C2×C4—184no—
648C2×C4—184no—
649C2×C4—184no—
650C2×C4—182no—
651C2×C4—184no—
652C2×C4—181no—
653C2×C4—181no—
654C2×C4—181no—
655C2×C4—181no—
656C2×C4—362no—
657C2×C4D4×C3⋊D311yescharacteristic
658C2×C4C23×C3⋊D311yescharacteristic
659C8—21no—
660C8—21no—
661C8—181no—
662C8—181no—
663C2×C3—44no—
664C2×C3—48no—
665C2×C3D3×#12014yes—
666C2×C3#576814yes—
667C2×C3#577714yes—
668D3—68no—
669D3—124no—
670D3—128no—
671D3—244no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—92no—
679C22—181no—
680C22—181no—
681C22—181no—
682C22—181no—
683C22—182no—
684C22—181no—
685C22—364no—
686C22—368no—
687C22—361no—
688C22—361no—
689C22—361no—
690C22—361no—
691C22—361no—
692C22C2×D4×C3⋊D311yescharacteristic
693C4—21no—
694C4—22no—
695C4—41no—
696C4—41no—
697C4—92no—
698C4—181no—
699C4—182no—
700C4—361no—
701C4C2×D4×C3⋊D311yescharacteristic
702C4C2×D4×C3⋊D311yescharacteristic
703C3#8022714yescomplemented
704C2—41no—
705C2—42no—
706C2—182no—
707C2—361no—
708C2—362no—
709C2—721no—
710C2C3⋊D3×#12011yescharacteristic
711C2#1059623911yescharacteristic
712C2#1059624811yescharacteristic
subgroupG/H
centerC22C2×D4×C3⋊D3
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C23×C3⋊D3
FittingC32×#452C2
socleC22×C32C22×D4
hypercenter#452C3⋊D3
hypocenterC32#3005
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ #452

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#41×C3⋊D3C2semidirect
2. C2×#64127C2semidirect
3. C2×#64123C2semidirect
4. #10596098C2semidirect
5. C32×#452C2semidirect
6. #10592937C2semidirect
7. #10592886C2semidirect
8. #10592872C2semidirect
9. #10592746C2semidirect
10. #10592509C2semidirect
11. #10592501C2semidirect
12. #10592480C2semidirect
13. #10592469C2semidirect
14. #10592433C2semidirect
15. #10592425C2semidirect
31. C2×C32×Q16C22semidirect
32. C2×C32×SD16C22semidirect
33. C32×C22⋊Q8C22semidirect
34. #64155C22semidirect
35. C2×#3756C22semidirect
36. C2×#3755C22semidirect
37. C2×#3755C22semidirect
38. C2×#3753C22semidirect
39. #64139C22semidirect
42. C2×#3745C22semidirect
43. C2×#3744C22semidirect
46. #64104C22semidirect
52. C32×#103C22semidirect
53. C32×#102C22semidirect
54. C32×C22⋊C8C22semidirect
55. #63662C22semidirect
56. #63659C22semidirect
57. #63657C22semidirect
58. #63648C22semidirect
59. #63647C22semidirect
60. #63647C22semidirect
61. #63643C22semidirect
62. #63637C22semidirect
63. #63636C22semidirect
68. C3×#452D3semidirect
100. Q8×C3⋊D3D4semidirect
106. D4×C3⋊D3D4semidirect
167. C2×C3×Q16C2×D3semidirect
168. C2×C3×SD16C2×D3semidirect
169. C3×C22⋊Q8C2×D3semidirect
188. C3×#103C2×D3semidirect
189. C3×#102C2×D3semidirect
190. C3×C22⋊C8C2×D3semidirect
268. #452C3⋊D3semidirect
397. C2×Q16C2×C3⋊D3semidirect
401. C2×SD16C2×C3⋊D3semidirect
408. C22⋊Q8C2×C3⋊D3semidirect
418. #103C2×C3⋊D3semidirect
422. #102C2×C3⋊D3semidirect
426. C22⋊C8C2×C3⋊D3semidirect
601. C32#3005semidirect
703. C3#80227semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#41×C3⋊D32
C2×#641272
C2×#641232
#105960982
C32×#4522
#105929372
#105928862
#105928722
#105927462
#105925092
#105925012
#105924802
#105924692
#105924332
#105924252
#802273